The space covered an extensive area. The doctor knew that because he had walked quite a distance to get to his location. If he did not take the opportunity to kill number two, allowing her to escape, it would be hard to take her down. After all, it was such a vast space.
Since he did not have access to water or food, he could not hold out for much longer. Allowing the problem to drag on would not be beneficial to him at all. Hence, he had to take the chance to kill the office lady right there and then. Once that was taken care of, he could figure out what to do next.
As for Song Qingxiao, she was close to death. It would be a simple feat to settle her after he had dealt with number two. She was not standing too far away from the doctor, which was why he was able to catch up with her in no time. He caught her hair and pulled hard, causing her to fall backward.